Nicole had four containers, G, H, J and K which contained a total of 160 lemons. She transferred 26 lemons from Container G to Container H, 53 lemons from Container H to Container J and 121 lemons from Container J to Container K. The ratio of the number of lemons in Container G to Container H to Container J changed from  4 : 5 : 12 to 1 : 4 : 8. How many lemons were in Container K at first?

	Make p the same (1)x4 = (3)	G (1)	H (2)	J	K
Before	16 u	4 u	5 u	12 u	?
Change 1	- 104	- 26	+ 26
Change 2			- 53	+ 53
Change 3				- 121	+ 121
After	4 p	1 p	4 p	8 p	?

4 u - 26 = 1 p --- (1)

5 u + 26 - 53 = 4 p
5 u - 27 = 4 p --- (2)

(1) _{x 4}
16 u - 104 = 4 p --- (3)

Make p the same.

(3) = (2)
16 u - 104 = 5 u - 27
16 u - 5 u = 104 - 27
11 u = 77

1 u = 77 ÷ 11 = 7

Total number of lemons in Container G, Container H and Container J
= 4 u + 5 u + 12 u
= 21 u

Total number of lemons in Container K at first
= 160 - 21 u
= 160 - 21 x 7
= 160 - 147
= 13

Answer(s): 13